On numerical simulations of integrate-and-fire neural networks.
It is shown that very small time steps are required to reproduce correctly the synchronization properties of large networks of integrate-and-fire neurons when the differential system describing their dynamics is integrated with the standard Euler or second-order Runge-Kutta algorithms. The reason for that behavior is analyzed, and a simple improvement of these algorithms is proposed.
Hansel
D
D
Centre de Physique Théorique UPR014 CNRS, Ecole Polytechnique, Palaiseau, France.
Mato
G
G
Meunier
C
C
Neltner
L
L
D000200:Action Potentials / Q000502:physiology; D000465:Algorithms; D003198:Computer Simulation; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D015203:Reproducibility of Results